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Finding the Fourth Proportional to 9,542.56, 14,312.64 and 4,608

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Solution

The fourth proportional to 9,542.56, 14,312.64 and 4,608 is: 6,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.56 : 14,312.64 = 4,608 : x
  2. Step 2: Convert to fraction form
    9,542.56/14,312.64 = 4,608/x
  3. Step 3: Cross multiply
    9,542.56x = 14,312.64 × 4,608
  4. Step 4: Simplify right side
    9,542.56x = 65,952,645.12
  5. Step 5: Solve for x
    x = 65,952,645.12/9,542.56
  6. Step 6: Final answer
    x = 6,911.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.